Springer Science+Business Media, LLC, 1985. — 489 p. — (Progress in Physics 10) — ISBN: 9781489966551.This volume contains most of the invited papers of the Second Colloquium and Workshop on "Random Fields": Rigorous Results in Statistical Mechanics" held in K8szeg, Hungary between August 26 and September 1, 1984. Invited papers whose authors could finally not attend the Colloquium are also included. The Colloquium was organized by the generous sponsorship of the International Union for Pure and Applied Physics, the International Workshop Committee for Theoretical Physics, the International Association of Mathematical Physics, the Hungarian Academy of Sciences and the Janos Bolyai Mathematical Society. Table of contents The Algebra of Many-Particle Operators C*-Algebra Approach to Ground States of the XY-Model Bulk Diffusion for Interacting Brownian Particles Spectral Properties of Random and Almost Periodic Differential and Finite-Difference Operators Equilibrium Fluctuations for Some Stochastic Particle Systems Linear and Related Models of Time Evolution in Quantum Statistical Mechanics Systems with Random Couplings on Diamond Lattices On the Diffusion in Dynamical Systems The Dynamics of a Particle Interacting with a Semi-Infinite Ideal Gas is a Bernoulli Flow A Generalization of Carateodory’s Construction for Dimensional Characteristic of Dynamic Systems Convergence of Images of Certain Measures Cluster Expansion for Unbounded Non-Finite Potential Thermal Layer Solutions of the Boltzmann Equation Hyperbolicity and Möller-Morphism for a Model of Classical Statistical Mechanics Quantum Stochastic Processes Absolutely Continuous Invariant Measures for Some Maps of the Circle Some Problems in Vortex Theory The Maxwell Rule and Phase Separation in the Hierarchical Vector-Valued ϕ4 -Model Constructive Criterion for the Uniqueness of Gibbs Field Completely Analytical Gibbs Fields Diffusion, Mobility and the Einstein Relation Transition from Pure Point to Continuous Spectrum for Random Schrödinger Equations: Some Rigorous Studies of Critical Behavior II
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